Assess students' ability to analyze pointwise convergence of Fourier series for piecewise‑smooth 2π‑periodic functions: determine convergence at points of continuity and to the average of left/right limits at jump discontinuities (Dirichlet conditions), compute or estimate partial sums near discontinuities, identify and quantify the Gibbs overshoot relative to the jump, and explain how summation methods (e.g., Cesàro/Fejér) modify or mitigate the phenomenon.